### Dynamics of Propagation and Interaction of Delta-Shock Waves in Conservation Law Systems

V. G. Danilov and V. M. Shelkovich

Abstract: We introduce a new definition of a $\delta$-shock wave type solution for a class of systems of conservation laws in the one-dimensional case. The weak asymptotics method developed by the authors is used to construct formulas describing the propagation and interaction of $\delta$-shock waves. The dynamics of merging two $\delta$-shocks is analytically described.

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Author(s):
V.G. Danilov, <danilov@miem.edu.ru>
V.M. Shelkovich, <shelkv@svm.abu.spb.ru>
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